
A local inverse function theorem is proved for multivalued mappings between Nash-Moser type spaces and Fréchet spaces allowing the log-convexity estimates.
local inverse function, multivalued map, Fréchet space, log-convexity estimates, Implicit function theorems; global Newton methods on manifolds, Nash-Moser type space
local inverse function, multivalued map, Fréchet space, log-convexity estimates, Implicit function theorems; global Newton methods on manifolds, Nash-Moser type space
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